Chaos control of parametric driven Duffing oscillators

Duffing resonators are typical dynamic systems, which can exhibit chaotic oscillations, subject to certain driving conditions. Chaotic oscillations of resonating systems with negative and positive spring constants are identified to investigate in this paper. Parametric driver imposed on these two sy...

Full description

Saved in:
Bibliographic Details
Published inApplied physics letters Vol. 104; no. 13
Main Authors Jin, Leisheng, Mei, Jie, Li, Lijie
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 31.03.2014
Subjects
Applied physics
CHAOS THEORY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Controllability
Driving conditions
Duffing oscillators
Mathematical analysis
NONLINEAR PROBLEMS
Nonlinear systems
OSCILLATIONS
OSCILLATORS
RESONATORS
Stability
Online AccessGet full text

Cover

More Information
Summary:Duffing resonators are typical dynamic systems, which can exhibit chaotic oscillations, subject to certain driving conditions. Chaotic oscillations of resonating systems with negative and positive spring constants are identified to investigate in this paper. Parametric driver imposed on these two systems affects nonlinear behaviours, which has been theoretically analyzed with regard to variation of driving parameters (frequency, amplitude). Systematic calculations have been performed for these two systems driven by parametric pumps to unveil the controllability of chaos.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0003-6951
1077-3118
DOI:10.1063/1.4870295